document.write( "Question 114556: A rectangular parcel of land is 70ft longer than it is wide. Each diagonal between opposite corbers is 130ft. What are the demensions of the parcel? \n" ); document.write( "
Algebra.Com's Answer #83329 by checkley71(8403) ![]() You can put this solution on YOUR website! GIVEN THAT THE DIAGONALS ARE EACH(=) THEN THESE DIAGONALS FOR A RIGHT TRIANGLE. \n" ); document.write( "THUS: \n" ); document.write( "X^2+(X+70)^2=130^2 \n" ); document.write( "X^2+X^2+140X+4900=16900 \n" ); document.write( "2X^2+140X+4900-16900=0 \n" ); document.write( "2X^2+140X-12000=0 \n" ); document.write( "2(X^2+70-6000)=0 \n" ); document.write( "2(X-50)(X+120)=0 \n" ); document.write( "X-50=0 \n" ); document.write( "X=50 FEET IS THE ANSWER FOR THE WIDTH. \n" ); document.write( "50+70=120 FEET FOR THE LENGTH. \n" ); document.write( "PROOF: \n" ); document.write( "50^2+120^2=130^2 \n" ); document.write( "2500+14400=16900 \n" ); document.write( "16900=16900\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |